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1. Which function represents exponential decay?

y= 4^0.3t
y= 7^-t
y= (1/3)^-t
y= 1.5^2t
Justify your response.

1 Answer

4 votes

Answer:

y= 7^-t

Explanation:

Equation for exponential decay:

An equation represents exponential decay if a term between 0 and 1 is elevated to the independent variable.

In this question:

First option 4 is elevated, so not exponential decay.

Second option:


7^(-t) = (1)/(7^t) = ((1)/(7))^(t)


0 < (1)/(7) < 1, thus, the second option represents exponential decay.

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